US9715590B2 - System and device for verifying the integrity of a system from its subcomponents - Google Patents
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- US9715590B2 US9715590B2 US14/704,947 US201514704947A US9715590B2 US 9715590 B2 US9715590 B2 US 9715590B2 US 201514704947 A US201514704947 A US 201514704947A US 9715590 B2 US9715590 B2 US 9715590B2
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F21/00—Security arrangements for protecting computers, components thereof, programs or data against unauthorised activity
- G06F21/50—Monitoring users, programs or devices to maintain the integrity of platforms, e.g. of processors, firmware or operating systems
- G06F21/57—Certifying or maintaining trusted computer platforms, e.g. secure boots or power-downs, version controls, system software checks, secure updates or assessing vulnerabilities
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
- H04L9/32—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols including means for verifying the identity or authority of a user of the system or for message authentication, e.g. authorization, entity authentication, data integrity or data verification, non-repudiation, key authentication or verification of credentials
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
- H04L9/32—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols including means for verifying the identity or authority of a user of the system or for message authentication, e.g. authorization, entity authentication, data integrity or data verification, non-repudiation, key authentication or verification of credentials
- H04L9/3218—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols including means for verifying the identity or authority of a user of the system or for message authentication, e.g. authorization, entity authentication, data integrity or data verification, non-repudiation, key authentication or verification of credentials using proof of knowledge, e.g. Fiat-Shamir, GQ, Schnorr, ornon-interactive zero-knowledge proofs
- H04L9/3221—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols including means for verifying the identity or authority of a user of the system or for message authentication, e.g. authorization, entity authentication, data integrity or data verification, non-repudiation, key authentication or verification of credentials using proof of knowledge, e.g. Fiat-Shamir, GQ, Schnorr, ornon-interactive zero-knowledge proofs interactive zero-knowledge proofs
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
- H04L9/32—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols including means for verifying the identity or authority of a user of the system or for message authentication, e.g. authorization, entity authentication, data integrity or data verification, non-repudiation, key authentication or verification of credentials
- H04L9/3271—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols including means for verifying the identity or authority of a user of the system or for message authentication, e.g. authorization, entity authentication, data integrity or data verification, non-repudiation, key authentication or verification of credentials using challenge-response
- H04L9/3278—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols including means for verifying the identity or authority of a user of the system or for message authentication, e.g. authorization, entity authentication, data integrity or data verification, non-repudiation, key authentication or verification of credentials using challenge-response using physically unclonable functions [PUF]
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2221/00—Indexing scheme relating to security arrangements for protecting computers, components thereof, programs or data against unauthorised activity
- G06F2221/03—Indexing scheme relating to G06F21/50, monitoring users, programs or devices to maintain the integrity of platforms
- G06F2221/034—Test or assess a computer or a system
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2221/00—Indexing scheme relating to security arrangements for protecting computers, components thereof, programs or data against unauthorised activity
- G06F2221/21—Indexing scheme relating to G06F21/00 and subgroups addressing additional information or applications relating to security arrangements for protecting computers, components thereof, programs or data against unauthorised activity
- G06F2221/2105—Dual mode as a secondary aspect
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2221/00—Indexing scheme relating to security arrangements for protecting computers, components thereof, programs or data against unauthorised activity
- G06F2221/21—Indexing scheme relating to G06F21/00 and subgroups addressing additional information or applications relating to security arrangements for protecting computers, components thereof, programs or data against unauthorised activity
- G06F2221/2153—Using hardware token as a secondary aspect
Definitions
- the present invention relates to integrity verification of systems comprising electronic subcomponents.
- a weapon system may require subcomponents to be internally validated during a boot process, or a vehicle may validate critical electronic control units on startup.
- Prior art typically accomplishes the verification of a sub-component through a demonstration that it possesses a secret value, for example, through a zero knowledge proof of knowledge. This method of verification, however, may be associated with one or more constraints relating to hardware integrity or the security of private information.
- existing sub-component authentication protocols only verify that an entity possesses a private value, and typically just infer hardware integrity if the device has a physical construction designed to deter tampering (e.g., a hardware security module). Even with a tamper resistant physical construction, the integrity of the physical construction is not inextricably linked to the integrity of the device itself.
- existing sub-component authentication protocols require that the sub-component store and protect private information (typically a private key for cryptographic authentication protocols). If the private information is compromised, it may be possible for an adversary to masquerade as a valid sub-component in the larger system.
- Peeters (“Security Architecture for Things That Think,” Diss. Ph. D. thesis, KU Leuven, June 2012) describes using a PUF in resource-constrained devices for regenerating a share from an external threshold system composed of a user's devices.
- the PUF is applied solely as a storage mechanism, eliminating the need to store the share in plaintext on the device. However, no internal threshold application is given, nor is the challenge-helper pair ever refreshed.
- Krzywiecki et al. (“Coalition resistant anonymous broadcast encryption scheme based on PUF,” Trust and Trustworthy Computing. Springer Berlin Heidelberg, 2011, 48-62) describe a broadcast encryption scheme where subscribers must invoke a PUF-enabled card to regenerate shares of a threshold system.
- the construction requires an incorruptible distributor to store and protect raw PUF output.
- the system is designed to allow an end device to recover a symmetric key only if it has not been revoked by the broadcaster.
- the PUF-enabled receiving device must construct the full symmetric key from its shares in order to decrypt the incoming transmission. No internal threshold application is given, nor is the challenge-helper pair ever refreshed.
- Khoshroo et al. (“Design and Evaluation of FPGA-based Hybrid Physically Unclonable Functions,” Diss. Western University London, 2013) describe a modified secret sharing scheme, where each player's share is a challenge-helper pair generated from the dealer's PUF.
- the actual shares for the threshold system are recovered only given both the challenge-helper pair and access to the PUF, which regenerates the share from the challenge-helper pair.
- an adversary can compromise all of the end devices, and yet is unable to recover the secret without access to the PUF. No cryptographic operations are possible over these pseudo-shares.
- the shared secret may only be recovered if all of the shares are regenerated, and the dealer is assumed to be incorruptible.
- the dealer's PUF is used only as a method for obfuscating the shares that are distributed to players.
- Various embodiments of the invention provide for the verification of a set of subcomponents of an electronic system, such that the integrity of the system as a whole is deduced therefrom.
- One embodiment of the invention employs physical unclonable functions (PUFs) for detecting hardware tampering in integrated circuits (ICs), and zero knowledge proof protocols for authentication. In one embodiment this is done by individual verification of subcomponents; in another embodiment, relevant sub-components may be verified together, with each generating a local proof of validity and collaborating to combine their local proofs into a single proof that validates the integrity of the system as a whole.
- PAFs physical unclonable functions
- systemic trust may be established even if the system's sub-components themselves are untrusted, by employing a hardware root-of-trust that iteratively extends the trust boundary as each sub-component is verified.
- FIG. 1 is a system diagram illustrating (1, 1) integrity verification of sub-components
- FIG. 2 is a system diagram illustrating (n, 1) integrity verification of sub-components.
- FIG. 3 illustrates a system establishing trust through layered security derived from a high assurance processor.
- each of a system's n relevant sub-components may be interrogated (e.g., sequentially) through an interactive or non-interactive zero-knowledge proof of knowledge.
- Authentication algorithms such as those disclosed in the '848 and '586 applications (elliptic curve-based) or in U.S. Pat. No. 8,918,647 (discrete log-based; “the '647 patent,” which is incorporated here by reference), for example, may be used to establish the hardware integrity of components having trusted means of gathering private information, such as physical unclonable functions.
- a PUF links the evaluation of a function with the hardware on which it is executed, such that any adversarial tampering of the hardware affects the evaluation of the function.
- the hardware integrity of the device can be deduced by an external verifier from its ability to successfully complete the zero knowledge proof protocol.
- the PUF may also be configured to dynamically generate private information from only public information, so that sub-components need not store and protect private information.
- integrity of the system may be established through a single collaborative response from all (or a subset of) the subcomponents by constructing a threshold proof that requires all or some subset of the n subcomponents to be functioning correctly. In that case, rather than construct a separate proof for each of the n components, they collaboratively construct a single proof that establishes the validity of all or a subset of the n components simultaneously.
- each subcomponent interacts directly with the verifier V.
- the verifier V issues a nonce as part of a two message protocol with each subcomponent.
- non-interactive (1, 1) verification each subcomponent sends only a single message to the verifier V, and includes a value equivalent to a nonce (e.g., a timestamp) that cannot be manipulated by the subcomponent.
- a subset of the n subcomponents collaboratively generate a single joint proof, which convinces the verifier V of the integrity of the subset of n subcomponents.
- the verifier V issues a nonce as part of a two message protocol, where a subset of subcomponents act jointly and send only a single response.
- non-interactive (n, 1) verification a subset of subcomponents send only a single message to the verifier V, which includes a value equivalent to a nonce (e.g., a timestamp) that cannot be manipulated by any subset of the subcomponents.
- a zero knowledge authentication protocol typically requires a unique and random nonce to be issued by the verifier V during each protocol invocation.
- the nonce prevents the proof from the verifier from being reused in the future (i.e., a replay attack), and the proving subcomponent must not be able to influence its value.
- the '848 application discloses a derived token-based zero knowledge proof protocol, the teachings regarding which are incorporated here by reference, summarized as follows:
- (1, 1) verification the verifier individually interrogates each subcomponent in order to establish the integrity of the larger system; all (or all specified) subcomponents successfully complete a zero knowledge proof with the verifier in order for the verification of the integrity of the system as a whole to succeed.
- the verifier is illustrated sequentially validating each of the system's sub-components. At first verification 1 and second verification 2, the verifier validates each critical sub-system component. At third verification 3 and fourth verification 4, the verifier validates each non-critical sub-system component. An interactive version of this process is set forth in Algorithm 1.
- the requirement for communication from the verifier V in the interactive zero knowledge proof is to obtain a nonce value specific to the current proof. This prevents an eavesdropping adversary from using previous proofs from a valid subcomponent to successfully complete an authentication protocol and masquerade as a valid subcomponent.
- a non-interactive zero knowledge proof removes this communication requirement.
- a non-interactive version of Algorithm 1 can be made by configuring the subcomponent to generate a nonce in a manner that prevents the proving subcomponent from manipulating the proof. To accomplish this, the subcomponent device d i constructs the nonce N ⁇ Hash(p i priv ⁇ G mod p ⁇ ) where ⁇ is a timestamp and ⁇ denotes concatenation.
- the timestamp ensures that previous proofs constructed by the proving subcomponent cannot be replayed by an adversary in the future, while the hash function ensures that the proving subcomponent cannot manipulate the challenge in an adversarial manner.
- the verifier preferably checks that the timestamp is reasonably current (e.g., second granularity) and monotonically increasing to prevent replay attacks. Alternately, globally-synchronized clocks may be used rather than a timestamp, such as if network latency is not significant.
- a non-interactive version of (1, 1) verification is set forth in Algorithm 2, with each sub-component locally choosing a current timestamp ⁇ to construct its nonce.
- an external entity denoted Verifier
- Verifier would like to verify that all critical subsystems are functioning properly, and/or to verify the system as a whole, as satisfied by some fraction of non-critical or redundant subsystems functioning properly.
- a threshold (n, 1) approach the verifier establishes the integrity of the larger system from a single joint proof constructed by combining local proofs from each sub-component.
- first threshold proof 5 and second threshold proof 6 the critical sub-components contribute their local proofs.
- third threshold proof 7 and fourth threshold proof 8 the remaining sub-components contribute their local proofs to form a single, joint proof.
- the Verifier validates the joint proof (such as by Algorithm 6) to establish the validity of the system as a whole.
- One method for verifying a set of critical and non-critical components is to generate a separate sharing for each set.
- This na ⁇ ve approach requires the verifier to check two proofs: one generated by the critical components, and another generated by the non-critical components.
- a more efficient method for combining both critical and non-critical components would be to generate a single proof that represents both component groups.
- a single proof that enforces all critical components and a subset of non-critical components may be constructed by properly distributing shares.
- This more efficient approach differs from the simpler na ⁇ ve approach, where x critical components form a (x,x) sharing, and the y non-critical components form a (z,y) sharing, where z ⁇ y.
- a (k,k) sharing can be constructed such that all k subsystems must collaborate to complete a single zero knowledge proof.
- the verifier only needs to verify a single zero knowledge proof in order to authenticate and verify a set of k critical components.
- a (t,n) sharing can be constructed for redundant systems, such that t of the n redundant subsystems must be functioning to complete the zero knowledge proof.
- the subsystems can jointly construct a single threshold zero knowledge proof to represent the system they compose.
- Algorithm 3 illustrates an example of a subset of subcomponent devices D ⁇ D,
- m ⁇ n constructing a joint threshold zero knowledge proof for the verifier V.
- the verifier combines the partial zero knowledge proofs (thus, implying O(n) work for V as the number of partial proofs is n)
- a secretary could instead combine the partial shares and forward the result to the verifier.
- the subcomponents could form a ring, and pass their partial shares to the next subcomponent, which combines their own partial proof before forwarding on to the next subcomponent.
- the Enrollment Algorithm, Distributed Key Generation Algorithm, and PUF-Retrieve are set forth in the '920 application.
- Algorithm 3 can be performed non-interactively. This is accomplished by replacing the verifier's nonce N with a timestamp ⁇ generated by the components, as illustrated in Algorithm 4.
- the timestamp serves as a replacement for the server's randomness N, and prevents replay attacks by adding a temporal requirement to the proof. That is, the timestamp is monotonically increasing, and the verifier simply checks that the timestamp used in the proof is reasonably (e.g., second granularity) current.
- Algorithm 5 illustrates a further refinement of Algorithm 3 that incorporates updating the challenge-helper pair and share after each operation.
- the PUF-Share-Update and PUF-Store algorithms are set forth in the '920 application.
- An additional embodiment of the invention is a system achieving a layered security approach across all computing levels by deriving a hardware root-of-trust from a high assurance processor.
- the high assurance processor is used to validate all layers in a computing architecture, providing secure boot control, change detection, alarm indicators and audit functions.
- FIG. 3 illustrates the high assurance processor in an exemplary computing architecture.
- Secure computing architectures create a layered security approach, where the trusted boundary is iteratively extended from a core root-of-trust.
- a trusted boot procedure assumes a minimal trust boundary (e.g., a root-of-trust, such as a trusted platform module (TPM)) and iteratively extends the trust boundary by validating each component of the system as it boots. This mitigates risk from components more susceptible to adversarial modification, such as the operating system or applications.
- the root-of-trust is used to detect modification to system components, and will only complete the boot sequence if all components are validated as correct.
- existing trusted boot systems typically rely on roots-of-trust that are assigned (rather than intrinsic) to the device.
- TPMs hold a private key in protected memory that represents the identity of the system.
- an adversary that extracts the assigned identity is able to masquerade as the system.
- existing systems do not provide intrinsic tamper detection, and rely on tamper detecting hardware enclosures for security.
- Existing roots-of-trust are illustrated in FIG. 3 at the root of trust layer 14 , which is situated above the hardware layer.
- One embodiment of the invention employs a high assurance processor based on a PUF that captures intrinsic and unique properties of the hardware and preferably provides intrinsic hardware tamper detection.
- the PUF mapping is a function of the physical properties of the hardware, it can be used to generate a hardware-intrinsic identity that represents the physical state of the system.
- high assurance processor 10 which is at the hardware layer, is established as the root-of-trust for the system and forms a layered security architecture interaction with application layer 11 , operating system layer 12 , network layer 13 , root of trust layer 14 , and hardware layer 15 .
- the high assurance processor 10 addresses NIST SP 800-53 Rev. 4 (“Security and Privacy Controls for Federal Information Systems and Organizations”) Security Capability, where trust is derived from interactions among system sub-components.
- the high assurance processor 10 may be used in mutual reinforcement controls within the system, where the high assurance processor 10 may validate an existing root-of-trust and vice versa.
- the high assurance processor 10 is preferably designed to interact with the system through common commercial standard interfaces (e.g., USB, Ethernet) to enable interaction with commercial-off-the-shelf devices without hardware modification, and integration and continued support may be achieved through firmware and/or software upgrades.
- the high assurance processor 10 may be used to extend and/or interact with existing roots-of-trust (e.g., TPM, ARM TrustZone). This enables a system with an existing trusted boot process to remain essentially unchanged, as the high assurance processor 10 can first validate the existing root-of-trust (which can subsequently complete the existing trusted boot process).
- the high assurance processor 10 may be used to validate applications prior to execution, for example by storing a cryptographic hash of the application code or binary executable when it is first installed from a trusted source.
- the high assurance processor 10 signs the cryptographic hash, which may be stored on the system.
- the high assurance processor 10 first computes a cryptographic hash of the current application code or binary executable, validates its signature on the stored cryptographic hash, and validates that the two hash outputs match. If any of these checks fail, the high assurance processor 10 preferably halts execution of the application and issues an alarm.
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Abstract
Description
Interactive Authentication Algorithm for an Individual Device |
for Server s do |
Device d ← {c, E, G, p, q, P, N} where N is a nonce and P is the |
helper string |
for PUF Device d do |
x ← Hash(c, E, G, p, q) |
pi riv ← D(PUF(x) ⊕ P) where PUF(•) is the PUF function and D is an |
error decoding scheme |
r ← random ∈ q, a random group element |
B ← r · G mod p |
c′ ← Hash(G, B, A, N), (a hash, not a challenge) |
m ← r + c′ · pi priv mod q |
Server s ← {B, m} |
for Server s do |
c′ ← Hash(G, B, A, N) |
D ← m · G − c′ · A mod p |
|
This algorithm proceeds as follows:
-
- Prior to authentication, the server has issued a random challenge variable c to the device, which is used to form a PUF challenge input x. The enrollment server and device agree on an elliptic curve E defined over a finite field p where G is a base point of order q. The device di returns a public commitment A=pi priv. G to the server, which links its PUF to the challenge variable c (on which the challenge input x depends), and a public helper value P that will correct the noisy PUF output.
- When the server wishes to authenticate the device, it issues an authentication request and the tuple {c, E, G, p, q, P, N} is sent to the device.
- The device constructs the PUF challenge input x←H (c, E, G, p, q), which links the challenge variable c with the public parameters of the elliptic curve, and passes it to the PUF yielding output O′, which is ⊕'d with helper value P and the result decoded using an error decoding scheme D.
- As the PUF output is noisy, when queried on challenge x again in the future, the new output O′ may not exactly match the previous output value O. However, it is assumed that O and O′ will be t-close with respect to some distance metric (e.g. Hamming distance). Thus, an error correcting code may be applied to the PUF output such that at most t errors will still recover O. During enrollment, error correction was applied over the random group element pi priv, and then this value was blinded with the output of the PUF O, so that the final helper value P=ECC(pi priv)⊕O reveals no information about pi priv. During recovery for authentication, computing the exclusive- or of ECC(rand)⊕O⊕O′ will return pi priv whenever O and O′ are t-close. This process is referred to as fuzzy extraction, and is detailed further in the '848 application (see “Gen Algorithm,”, “Rep Algorithm,” and Definition 3).
- The device chooses a random group element rε q and computes point B=r·C.
- The server's nonce N is linked to the proof by constructing a hash c′ that also combines the base point G, the device's nonce B, and its public key A.
- The device constructs the zero knowledge proof token (B, m=r+c′·pi priv mod p), and returns this tuple to the server.
- The server verifies that:
(1, 1) Verification
|
for each Subcomponent Device di ∈ do |
for Verifier do |
di ← {ci, G, p, Pi, Ni} where Ni is a nonce and Pi is the helper string |
xi ← Hash(ci, E, G, n) |
pi priv ← D(PUF(xi) ⊕ Pi) where PUF(•) is the PUF output function and |
D is an error decoding scheme |
Ai = pi priv · G mod p |
ri ← random ∈ q, a random group element |
Bi ← ri · G mod p |
ci′ ← Hash(G, Bi, Ai, Ni) |
mi ← ri + ci′ · pi priv mod q |
Verifier ← {Bi, mi} |
for Verifier do |
Ai = pi priv · G mod p (stored from device enrollment) |
ci′ ← Hash(G, Bi, Ai, Ni) |
Di ← mi · G − ci′ · Ai mod p |
|
for Verifier do |
|
Algorithm 2 Non-Interactive (1, 1) System Verification |
for each Subcomponent Device di ∈ do |
xi ← Hash(ci, E, G, n) |
pi priv ← D(PUF(xi) ⊕ Pi) where PUF(•) is the PUF output function and |
D is an error decoding scheme |
Ai = pi priv · G mod p |
ri ← random ∈ n, a random group element |
Bi ← ri · G mod p |
Ni ← Hash(A∥τ) where τ is the current timestamp |
ci′ ← Hash(G, Bi, Ai, Ni) |
mi ← ri + ci′ · pi priv mod q |
Verifer ← {Bi, mi, τ} |
for Verifier do |
Ai = pi priv · G mod p (stored from device enrollment) |
Ni ← Hash(A∥τ) |
ci′ ← Hash(G, Bi, Ai, Ni) |
Di ← mi · G − ci′ · Ai mod p |
|
for Verifier do |
|
(n, 1) Verification
|
Goal: Perform threshold zero knowledge proof at time τ |
One-Time Setup Stage |
for each Subsystem Device di ∈ do |
Run Enrollment Algorithm |
Run Distributed Key Generation Algorithm |
Evaluation Stage |
for Verifier do |
Broadcast ephemeral nonce N to all di ∈ |
for all Participants pi ∈ do |
Recover share ri ← PUF-Retrieve(ci, helperi) |
Choose a random yi ∈ q |
Compute and broadcast Bi = yi · G mod p to all di ∈ |
Compute |
|
e = Hash(G, B, pub, N) |
|
Send (Bi, Mi) to verifier |
|
Goal: Perform non-interactive threshold zero knowledge proof at time τ |
One-Time Setup Stage |
for each Subsystem Device di ∈ do |
Run Enrollment Algorithm |
Run Distributed Key Generation Algorithm |
Evaluation Stage |
for all Participants pi ∈ do |
Fix current timestamp τ |
Recover share ri ← PUF-Retrieve(ci, helperi) |
Choose a random yi ∈ q |
Compute and broadcast Bi = yi · G mod p to all di ∈ |
Compute |
|
e = Hash(G, B, pub, τ) |
|
Send (Bi, Mi, τ) to verifier |
|
Goal: Perform threshold zero knowledge proof at time τ |
One-Time Setup Stage |
for each Subsystem Device di ∈ do |
Run Enrollment Algorithm |
Run Distributed Key Generation Algorithm |
Evaluation Stage |
for Verifier do |
Broadcast ephemeral nonce N to all di ∈ |
for all Participants pi ∈ do |
Recover share ri (τ) ← PUF-Retrieve(ci (τ), helperi (τ)) |
Choose a random yi ∈ q |
Compute and broadcast Bi = yi · G mod p to all di ∈ |
Compute |
|
e = Hash(G, B, pub, N) |
|
Send (Bi, Mi) to verifier |
Update share |
ri (τ+1) ← PUF-Share-Update (ri (τ)) |
Store ri (τ+1) and update PUF challenge: |
{ci (τ+1), helperi (τ+1)} ← PUF-Store(ri (τ+1)) |
|
for Verifier do |
Upon receipt of (Bi, Mi)1≦i≦t, compute: |
|
|
e = h(G, B, pub, N) |
Verify the proof against the group's public key pub = rG: |
|
|
Layered Security
Claims (18)
Priority Applications (4)
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US14/704,947 US9715590B2 (en) | 2014-05-05 | 2015-05-05 | System and device for verifying the integrity of a system from its subcomponents |
US14/746,090 US9292692B2 (en) | 2014-05-05 | 2015-06-22 | System and device for verifying the integrity of a system from its subcomponents |
DE112016001047.8T DE112016001047B4 (en) | 2015-03-05 | 2016-03-07 | System and device for verifying the integrity of a system and its components |
PCT/US2016/021264 WO2016141383A1 (en) | 2015-03-05 | 2016-03-07 | System and device for verifying the integrity of a system from its components |
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US201461988848P | 2014-05-05 | 2014-05-05 | |
US201562128920P | 2015-03-05 | 2015-03-05 | |
US201562150254P | 2015-04-20 | 2015-04-20 | |
US201562150586P | 2015-04-21 | 2015-04-21 | |
US14/704,947 US9715590B2 (en) | 2014-05-05 | 2015-05-05 | System and device for verifying the integrity of a system from its subcomponents |
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US20170093906A1 (en) * | 2015-09-25 | 2017-03-30 | Abhilasha Bhargav-Spantzel | Technologies for anonymous context attestation and threat analytics |
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